All patients are now back in their rooms, but it was chaotic for a few minutes as firefighters climbed to the seventh floor to put out a small fire that caused a lot of smoke and panic.
The fire happened in a supply room on the neonatal intensive care unit floor, where some of the tiniest babies are treated.
"It was a small fire, possibly in a computer or battery backup that produced quite a bit of smoke," said Deputy Chief Mike Price with Dallas-Fire Rescue.
Fire investigators say a computer's backup battery caught fire because of an electrical malfunction. The unit itself was completely destroyed and caused minor damage to the wall and overhead cabinets where it was placed.
Baylor staff quickly moved patients to other parts of the floor so firefighters could isolate the burned electronic and blow the smoke out with exhaust fans.
No one was injured or suffered smoke inhalation.